To determine the length of the side b, we'll apply the law of sines:a/sin A = b/sin BWe notice that we do not know the measure of the angle B.Since we know two of the three angles of the triangle, we can determine the 3rd angle, knowing that the sum of the angles is of 180 degrees.A+B+C = 18030+B+105 = 180 => B = 180 - 135B = 45Now, we can apply the law of sines:8/sin 30 = b/sin 45We'll cross multiply:b*sin 30 = 8*sin 45b/2 = 8*sqrt2/2b = 8sqrt2